212111003100 has 72 divisors (see below), whose sum is σ = 628676355888. Its totient is φ = 55183347200.

The previous prime is 212111003087. The next prime is 212111003101. The reversal of 212111003100 is 1300111212.

212111003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212111003100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8610099 + ... + 8634698.

It is an arithmetic number, because the mean of its divisors is an integer number (8731616054).

Almost surely, 2^212111003100 is an apocalyptic number.

212111003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111003100 is an abundant number, since it is smaller than the sum of its proper divisors (416565352788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212111003100 is a wasteful number, since it uses less digits than its factorization.

212111003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244855 (or 17244848 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 212111003100 its reverse (1300111212), we get a palindrome (213411114312).

The spelling of 212111003100 in words is "two hundred twelve billion, one hundred eleven million, three thousand, one hundred".